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On statistical convergence in topological groups. (English) Zbl 0876.40002
Summary: The concept of statistical convergence is studied in topological groups, and some theorems giving necessary and sufficient conditions for limitation methods to be statistically $$h$$-regular are proved.

MSC:
 40A99 Convergence and divergence of infinite limiting processes 40C15 Function-theoretic methods (including power series methods and semicontinuous methods) for summability 22A10 Analysis on general topological groups